Find Solutions Using the Discriminant Slides

The discriminant is

• aX²  + bX  +  c
• b - 4ac
• b² - 4ac
• b² + 4ac

For the function below, is the discriminant positive, negative, or zero?

___________

y = x² + 4x + 4

• Positive

• Negative

• Zero

• Not Sure

What is the discriminant of -2x² − x − 1 = 0

• 76

• -7

• 9

• none of these

What is the discriminant of 6x² − 2x − 3 = 0

• 76

• 29

• 68

• none of these

What is the discriminant for 5x² + x − 2 = 0

• -39

• 42

• -41

• none of these

If the discriminant is positive, then the solution will be

• one real solution

• two real solutions

• no real solutions

• one imaginary solution

A function has a discriminant of 25.
______________
How many solutions does it have?

• 0
• 1
• 2
• 5

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter 

• a=0, b=5, c=7
• a=1, b=5, c=7
• a=7, b=5, c=1

Determine the value of the discriminant and name the nature of the roots for the following:
x² + 7x + 13
Remember:  b² - 4ac

• 400, 2 real root 
• 0, 1 real root with a multiplicity of 2
• -400, 2 imaginary roots
• -3, 2 imaginary roots

A function has a discriminant of -3.
______________
How many x-intercepts does it have?

• 0
• 1
• 2
• 3